Group classification and conservation laws of a sixth-order thin film type equation

A group classification is preformed on a sixth-order thin film type equation under the group of continuous equivalence transformation. A list of similar reductions is presented based on the optimal systems of one-dimensional subalgebras of the corresponding symmetry algebras. Some invariant solutions with physical interest are constructed. The nonlinear self-adjointness of the equation is showed and conservation laws are obtained by using the new conservation theorem proposed by Ibragimov.